- ample bundle
- мат.обильный пучок
English-Russian scientific dictionary. 2008.
ample bundle
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Ample line bundle — In algebraic geometry, a very ample line bundle is one with enough global sections to set up an embedding of its base variety or manifold M into projective space. An ample line bundle is one such that some positive power is very ample. Globally… … Wikipedia
Canonical bundle — In mathematics, the canonical bundle of a non singular algebraic variety V of dimension n is the line bundle which is the nth exterior power of the cotangent bundle Ω on V. Over the complex numbers, it is the determinant bundle of holomorphic n… … Wikipedia
Stable vector bundle — In mathematics, a stable vector bundle is a vector bundle that is stable in the sense of geometric invariant theory. They were defined by harvtxt|Mumford|1963table vector bundles over curvesA bundle W over an algebraic curve (or over a Riemann… … Wikipedia
Nef line bundle — A line bundle on an algebraic variety is said to be nef (short for numerically effective or numerically eventually free ), if the degree of the restriction to any algebraic curve of the variety is non negative. In particular, every ample line… … Wikipedia
Mori Shigefumi — Mori (rechts) zusammen mit Edward Witten Shigefumi Mori (jap. 森 重文, Mori Shigefumi; * 23. Februar 1951 in Nagoya, Japan) ist ein japanischer Mathematiker, der für seine Arbeiten in algebraischer Geometrie die Fields Medaille erhielt. Mori… … Deutsch Wikipedia
Shigefumi Mori — Mori (rechts) zusammen mit Edward Witten Shigefumi Mori (jap. 森 重文, Mori Shigefumi; * 23. Februar 1951 in Nagoya, Japan) ist ein japanischer Mathematiker, der für seine Arbeiten in algebraischer Geometrie die Fields Medaille erhielt … Deutsch Wikipedia
Néron–Tate height — In number theory, the Néron–Tate height (or canonical height) is a quadratic form on the Mordell Weil group of rational points of an abelian variety defined over a global field. It is named after André Néron and John Tate. Contents 1 Definition… … Wikipedia
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Pluricanonical ring — In mathematics, the pluricanonical ring of an algebraic variety V (which is non singular), or of a complex manifold, is the graded ring R(V,K)=R(V,K V) of sections of powers of the canonical bundle K .Its n th graded component (for ngeq 0) is::R… … Wikipedia
Equations defining abelian varieties — In mathematics, the concept of abelian variety is the higher dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of study because every abelian variety is a projective variety. In dimension d ge; … Wikipedia
Positive form — In complex geometry, the term positive form refers to several classes of real differential formsof Hodge type (p, p) . (1,1) forms Real ( p , p ) forms on a complex manifold M are forms which are of type ( p , p ) and real,that is, lie in the… … Wikipedia
